Turbulence theories and statistical closure approaches

DOI10.1016/j.physrep.2021.07.001OpenAlexW3185062646MaRDI QIDQ2233981

Publication date: 12 October 2021

Published in: Physics Reports (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physrep.2021.07.001

zbMATH Keywords

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items

Functional renormalisation group for turbulence ⋮ On the simultaneous cascades of energy, helicity, and enstrophy in incompressible homogeneous turbulence ⋮ Higher-order statistics and intermittency of a two-fluid Hall–Vinen–Bekharevich–Khalatnikov quantum turbulent flow ⋮ The influences of acceleration on compressible Rayleigh-Taylor instability with non-equilibrium effects ⋮ On the 3D turbulence regime in a tokamak plasma edge ⋮ A two-experiment finite similitude approach to experimental fluid mechanics ⋮ Scale interactions and anisotropy in Rayleigh–Taylor turbulence

Cites Work

Instability in Geophysical Flows
A Casimir preserving scheme for long-time simulation of spherical ideal hydrodynamics
Rossby-number effects on columnar eddy formation and the energy dissipation law in homogeneous rotating turbulence
Turbulent mixing: A perspective
A Lagrangian fluctuation–dissipation relation for scalar turbulence. Part III. Turbulent Rayleigh–Bénard convection
Closure model for homogeneous isotropic turbulence in the Lagrangian specification of the flow field
Identifying the tangle of vortex tubes in homogeneous isotropic turbulence
A semi-Lagrangian direct-interaction closure of the spectra of isotropic variable-density turbulence
Numerical study on comparison of Navier-Stokes and Burgers equations
Wave turbulence in a rotating channel
A model relating Eulerian spatial and temporal velocity correlations
A comparison of spectral sharp and smooth filters in the analysis of nonlinear interactions and energy transfer in turbulence
An analysis of the energy transfer and the locality of nonlinear interactions in turbulence
Constrained subgrid-scale stress model for large eddy simulation
A note on the fluctuation of dissipative scale in turbulence
A functional form for the energy spectrum parametrizing bottleneck and intermittency effects
Self-similarity and universality in Rayleigh–Taylor, Boussinesq turbulence
Scale interactions and scaling laws in rotating flows at moderate Rossby numbers and large Reynolds numbers
Locality properties of the energy flux in turbulence
Enthalpy diffusion in multicomponent flows
Localness of energy cascade in hydrodynamic turbulence. I. Smooth coarse graining
Localness of energy cascade in hydrodynamic turbulence. II. Sharp spectral filter
Spectrally condensed turbulence in thin layers
On space and time correlations of isotropic and rotating turbulence
Anomalous scaling of low-order structure functions of turbulent velocity
The statistical dynamics of homogeneous turbulence
Transport, Collective Motion, and Brownian Motion
Approximations for Steady-State Isotropic Turbulence
Kazantsev model in non-helical 2.5-dimensional flows
Reynolds averaged turbulence modelling using deep neural networks with embedded invariance
On the normalized dissipation parameter in decaying turbulence
The engine behind (wall) turbulence: perspectives on scale interactions
Turbulence in a box: quantification of large-scale resolution effects in isotropic turbulence free decay
Isotropic turbulence in compact space
A formal derivation of the local energy transfer (LET) theory of homogeneous turbulence
Chandrasekhar's Fluid Dynamics
Turbulence Modeling in the Age of Data
Sub-grid scale model classification and blending through deep learning
Experimental Studies of Transition to Turbulence in a Pipe
On the decay of isotropic turbulence
Two-point description of two-fluid turbulent mixing—I. Model formulation
Two-point description of two-fluid turbulent mixing—II. Numerical solutions and comparisons with experiments
Magnetohydrodynamic Turbulence at Low Magnetic Reynolds Number
On the two-point correlation of potential vorticity in rotating and stratified turbulence
Renormalization group, operator product expansion and anomalous scaling in models of turbulent advection
The energy cascade in a strongly stratified fluid
Wave turbulence in rapidly rotating flows
Orientation of eddy fluxes in geostrophic turbulence
Self-Consistent-Field Approach to Turbulence Theory
Isotropic Turbulence and Inertial-Range Structure
The large-scale structure of homogeneous turbulence
Kolmogorov's Hypotheses and Eulerian Turbulence Theory
Lagrangian-History Statistical Theory for Burgers' Equation
Small-Scale Structure of a Scalar Field Convected by Turbulence
Self-Consistent-Field Approach to Nonstationary Turbulence
Growth of Turbulent Magnetic Fields
Parastochastics
Random Wave Closures
Analytical theories of turbulence
Turbulent Hydrodynamic Line Stretching: Consequences of Isotropy
Convergents to turbulence functions
Model Equations for Strong Turbulence in a Vlasov Plasma
Computation of the Energy Spectrum in Homogeneous Two-Dimensional Turbulence
An almost-Markovian Galilean-invariant turbulence model
Inertial-range transfer in two- and three-dimensional turbulence
Dynamics of Nonlinear Stochastic Systems
Effect of Schmidt number on the velocity–scalar cospectrum in isotropic turbulence with a mean scalar gradient
Inhomogeneous closure and statistical mechanics for Rossby wave turbulence over topography
V<scp>ERTICAL</scp> M<scp>IXING</scp>, E<scp>NERGY</scp>, <scp>AND THE</scp> G<scp>ENERAL</scp> C<scp>IRCULATION OF THE</scp> O<scp>CEANS</scp>
Large Eddy Simulation for Incompressible Flows
Energy Transfer in a Normally Distributed and Isotropic Turbulent Velocity Field in Two Dimensions
A consequence of the zero-fourth-cumulant approximation in the decay of isotropic turbulence
The multifractal nature of turbulent energy dissipation
The equations of nearly incompressible fluids. I. Hydrodynamics, turbulence, and waves
Renormalization group analysis of anisotropic diffusion in turbulent shear flows
An update on the energy dissipation rate in isotropic turbulence
Symmetries and the approach to statistical equilibrium in isotropic turbulence
Steady-state Burgers turbulence with large-scale forcing
Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
The Spectrum of Locally Isotropic Turbulence
On the theory of statistical and isotropic turbulence
The nature of turbulent motion at large wave-numbers
Note on the Coefficient of Eddy Viscosity in Isotropic Turbulence
The Hydromagnetic Equations
The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I
Subgrid modelling for geophysical flows
An analytical theory of the buoyancy–Kolmogorov subrange transition in turbulent flows with stable stratification
Numerical simulations of two-fluid turbulent mixing at large density ratios and applications to the Rayleigh–Taylor instability
First steps in modelling turbulence and its origins: a commentary on Reynolds (1895) ‘On the dynamical theory of incompressible viscous fluids and the determination of the criterion’
Experimental, numerical, and analytical velocity spectra in turbulent quantum fluid
Constrained large-eddy simulation of turbulent flow and heat transfer in a stationary ribbed duct
Connections between the Ozmidov scale and mean velocity profile in stably stratified atmospheric surface layers
Forcing-dependent dynamics and emergence of helicity in rotating turbulence
Space-Time Correlations and Dynamic Coupling in Turbulent Flows
On two-dimensional magnetohydrodynamic turbulence
Aspects of a renormalized weak plasma turbulence theory
The bottleneck effect and the Kolmogorov constant in isotropic turbulence
George Batchelor: a personal tribute, ten years on
Onsager and the theory of hydrodynamic turbulence
Particles and fields in fluid turbulence
The Regularized Dia Closure for Two-Dimensional Turbulence
A stochastic view of isotropic turbulence decay
Atwood ratio dependence of Richtmyer–Meshkov flows under reshock conditions using large-eddy simulations
Viscous Instanton for Burgers' Turbulence
Experimental study of the influence of anisotropy on the inertial scales of turbulence
The effect of asymmetric large-scale dissipation on energy and potential enstrophy injection in two-layer quasi-geostrophic turbulence
Theory of Turbulence
An inequality concerning the production of vorticity in isotropic turbulence
The large-scale structure of homogenous turbulence
The theory of decay process of incompressible isotropic turbulence
Relation of Fourth-Order to Second-Order Moments in Stationary Isotropic Turbulence
Information Theory and Statistical Mechanics
Small-scale variation of convected quantities like temperature in turbulent fluid Part 1. General discussion and the case of small conductivity
Small-scale variation of convected quantities like temperature in turbulent fluid Part 2. The case of large conductivity
The structure of isotropic turbulence at very high Reynolds numbers
Structure of a quantized vortex in boson systems
Turbulence spectra from a tidal channel
Machine Learning for Fluid Mechanics
Statistical mechanics of the 3D axisymmetric Euler equations in a Taylor–Couette geometry
Hyperviscosity and statistical equilibria of Euler turbulence on the torus and the sphere
Strained spiral vortex model for turbulent fine structure
Viscosity renormalization based on direct-interaction closure
On local isotropy of passive scalars in turbulent shear flows
TURBULENT MIXING
The decay of turbulence in a bounded domain
On modal time correlations of turbulent velocity and scalar fields
Dynamic Scaling of Growing Interfaces
Exact scaling laws and the local structure of isotropic magnetohydrodynamic turbulence
Spectral modelling of high Reynolds number unstably stratified homogeneous turbulence
Time correlations and random sweeping in isotropic turbulence
Nonlinear Reynolds stress models and the renormalization group
Lagrangian renormalized approximation of turbulence
A physical mechanism of the energy cascade in homogeneous isotropic turbulence
Spectral imbalance and the normalized dissipation rate of turbulence
Inertial-subrange structures of isotropic incompressible magnetohydrodynamic turbulence in the Lagrangian renormalized approximation
Large-eddy simulation of very large kinetic and magnetic Reynolds number isotropic magnetohydrodynamic turbulence using a spectral subgrid model
Anisotropic phase-mixing in homogeneous turbulence in a rapidly rotating or in a strongly stratified fluid: An analytical study
Infrared pressure spectra in two- and three-dimensional isotropic incompressible turbulence
Passive scalar spectrum in isotropic turbulence: Prediction by the Lagrangian direct-interaction approximation
Taylor expansions in powers of time of Lagrangian and Eulerian two-point two-time velocity correlations in turbulence
Multiscale velocity correlation in turbulence: Experiments, numerical simulations, synthetic signals
Effects of helicity on Lagrangian and Eulerian time correlations in turbulence
On depression of nonlinearity in turbulence
On the validity of a nonlocal approach for MHD turbulence
Maximum entropy versus minimum enstrophy vortices
Passive scalar spectrum in the viscous-convective range in two-dimensional steady turbulence
Free decay of turbulence and breakdown of self-similarity
On the decay of homogeneous isotropic turbulence
Anisotropic spectrum of homogeneous turbulent shear flow in a Lagrangian renormalized approximation
Influence of subgrid scales on resolvable turbulence and mixing in Rayleigh–Taylor flow
Large-eddy simulation of conductive flows at low magnetic Reynolds number
Eulerian short-time statistics of turbulent flow at large Reynolds number
On the computation of space-time correlations by large-eddy simulation
Two-point closures for weakly compressible turbulence
Predictability of the inverse energy cascade in 2D turbulence
Fronts in passive scalar turbulence
Conditional mode-elimination and the subgrid-modeling problem for isotropic turbulence
Thermal plume turbulence
Frequency shifts of Rossby waves in the inertial subranges of β-plane turbulence
Energy dissipation rate and energy spectrum in high resolution direct numerical simulations of turbulence in a periodic box
Langevin models of turbulence: Renormalization group, distant interaction algorithms or rapid distortion theory?
A quasinormal scale elimination model of turbulent flows with stable stratification
Self-similar turbulence evolution and the dissipation rate transport equation
Decaying grid-generated turbulence in a rotating tank
On the normalized turbulent energy dissipation rate
Reynolds number dependency of the scalar flux spectrum in isotropic turbulence with a uniform scalar gradient
Local balance and cross-scale flux of available potential energy
Reynolds-number dependency in homogeneous, stationary two-dimensional turbulence
Locality properties of the energy flux in magnetohydrodynamic turbulence
Dissipation-energy flux correlations as evidence for the Lagrangian energy cascade in turbulence
Lagrangian views on turbulent mixing of passive scalars
Study of High–Reynolds Number Isotropic Turbulence by Direct Numerical Simulation
Ocean Circulation Kinetic Energy: Reservoirs, Sources, and Sinks
Lagrangian Properties of Particles in Turbulence
Interacting scales and energy transfer in isotropic turbulence
The dynamics of vorticity tubes in homogeneous turbulence
Eulerian and Lagrangian scaling properties of randomly advected vortex tubes
A Lagrangian direct-interaction approximation for homogeneous isotropic turbulence
Energy transfer in rotating turbulence
On the decay of Burgers turbulence
Classification of robust isolated vortices in two-dimensional hydrodynamics
Chaotic dynamics in a strained rotating flow: a precessing plane fluid layer
A spectral model applied to homogeneous turbulence
A phenomenological treatment of rotating turbulence
Sweeping and straining effects in sound generation by high Reynolds number isotropic turbulence
On the symmetry of self-organized structures in two-dimensional turbulence
On the universality of the Kolmogorov constant
Phenomenology for the decay of energy-containing eddies in homogeneous MHD turbulence
Lévy stable distributions for velocity and velocity difference in systems of vortex elements
The universal scaling exponents of anisotropy in turbulence and their measurement
Analytical theory of the destruction terms in dissipation rate transport equations
Probability Theory
Cross-term and ϵ-expansion in RNG theory of turbulence
S<scp>TABILITY AND</scp> T<scp>RANSITION OF</scp> T<scp>HREE</scp>-D<scp>IMENSIONAL</scp> B<scp>OUNDARY</scp> L<scp>AYERS</scp>
S<scp>HELL</scp> M<scp>ODELS OF</scp> E<scp>NERGY</scp> C<scp>ASCADE IN</scp> T<scp>URBULENCE</scp>
The vortices of homogeneous geostrophic turbulence
Statistical mechanics of Euler equations in two dimensions
Models of intermittency in hydrodynamic turbulence
Relaxation towards a statistical equilibrium state in two-dimensional perfect fluid dynamics
Vortex merging in quasi-geostrophic flows
Passive Scalars in Turbulent Flows
Turbulent Flows
Nonequivalent statistical equilibrium ensembles and refined stability theorems for most probable flows
Random-sweeping hypothesis for passive scalars in isotropic turbulence
Statistical equilibrium predictions of jets and spots on Jupiter
G.K. B<scp>ATCHELOR AND THE</scp> H<scp>OMOGENIZATION OF</scp> T<scp>URBULENCE</scp>
Entropy budget and coherent structures associated with a spectral closure model of turbulence
Markovian inhomogeneous closures for Rossby waves and turbulence over topography
Subgrid modelling for two-dimensional turbulence using neural networks
Quasi-diagonal inhomogeneous closure for classical and quantum statistical dynamics
Nonlinear spectral model for rotating sheared turbulence
Intracellular Fluid Mechanics: Coupling Cytoplasmic Flow with Active Cytoskeletal Gel
The turbulent cascade in five dimensions
The QDIA and regularized QDIA closures for inhomogeneous turbulence over topography
Stable and unstable vortices attached to seamounts
Measures of Anisotropy and the Universal Properties of Turbulence
Optimal large-eddy simulation results for isotropic turbulence
Shear effects on passive scalar spectra
Turbulence in space plasmas and beyond
Simultaneous direct measurements of concentration and velocity in the Richtmyer–Meshkov instability
Machine-aided turbulence theory
Small-scale structure and energy transfer in homogeneous turbulence
VORTEX DYNAMICS IN TURBULENCE
Renormalization-Group Analysis of Turbulence
DIRECT NUMERICAL SIMULATION: A Tool in Turbulence Research
The sweeping decorrelation hypothesis and energy–inertial scale interaction in high Reynolds number flows
Statistics of decaying Burgers turbulence
Classification of self-organized vortices in two-dimensional turbulence: the case of a bounded domain
Intermittency and coherent structures in two-dimensional turbulence
Turbulent channel and Couette flows using an anisotropic k-epsilon model
Non-Gaussian statistics in isotropic turbulence
A comparative assessment of spectral closures as applied to passive scalar diffusion
A Markovian random coupling model for turbulence
Sparseness of nonlinear coupling: importance in sparse direct-interaction perturbation
Emergence of intense jets and Jupiter's Great Red Spot as maximum-entropy structures
Local 4/5-law and energy dissipation anomaly in turbulence
The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics
The influence of a mean magnetic field on three-dimensional magnetohydrodynamic turbulence
Bottleneck phenomenon in developed turbulence
Inertial organization of a two-dimensional turbulent vortex street
The renormalization group method in statistical hydrodynamics
Closure theories with non-Gaussian restarts for truncated two-dimensional turbulence
Dynamics of direct large-small scale couplings in coherently forced turbulence: concurrent physical- and Fourier-space views
A note on the spectra and decay of rotating homogeneous turbulence
Inertial range statistics of Burgers turbulence
Barotropic quasi-geostrophic f-plane flow over anisotropic topography
Anomalous scaling of the magnetic field in the Kazantsev–Kraichnan model
Multiscale and Multiresolution Approaches in Turbulence
The turbulent bubble break-up cascade. Part 1. Theoretical developments
Scale-to-scale anisotropy in homogeneous turbulence
The scaling of straining motions in homogeneous isotropic turbulence
A Lagrangian fluctuation–dissipation relation for scalar turbulence. Part I. Flows with no bounding walls
A Lagrangian fluctuation–dissipation relation for scalar turbulence. Part II. Wall-bounded flows
Spectral modelling for passive scalar dynamics in homogeneous anisotropic turbulence
A new idea to predict reshocked Richtmyer–Meshkov mixing: constrained large-eddy simulation
Stationary, isotropic and homogeneous two-dimensional turbulence: a first non-perturbative renormalization group approach
Machine-learning-based spatio-temporal super resolution reconstruction of turbulent flows
Triadic resonances driven by thermal convection in a rotating sphere
Unsupervised deep learning for super-resolution reconstruction of turbulence
Selected Papers of J. M. Burgers
An exact representation of the nonlinear triad interaction terms in spectral space
Helical turbulence and absolute equilibrium
The emergence of isolated coherent vortices in turbulent flow
Anomalous scaling of a passive vector advected by the Navier–Stokes velocity field
Difference between Turbulence in a Two-Dimensional Fluid and in a Three-Dimensional Fluid
The fluctuations of density in isotropic turbulence
On the Spectrum of Isotropic Temperature Fluctuations in an Isotropic Turbulence
Heat Transfer in Isotropic Turbulence
The generation of noise by isotropic turbulence
On some statistical properties of hydrodynamical and magneto-hydrodynamical fields
On sound generated aerodynamically I. General theory
On the decay of a normally distributed and homogenous turbulent velocity field
On velocity correlations and the solutions of the equations of turbulent fluctuation
A theory of turbulence
Equilibrium statistical mechanics and energy partition for the shallow water model
Inflow and initial conditions for direct numerical simulation based on adjoint data assimilation
Solvable phase diagrams and ensemble inequivalence for two-dimensional and geophysical turbulent flows
Randomized and quantum algorithms yield a speed-up for initial-value problems
Wave turbulence.
Machine learning strategies for systems with invariance properties
Formulation of the theory of turbulence in an incompressible fluid
Mapping closures for turbulent mixing and reaction
A generalized Heisenberg model for turbulent spectral dynamics
Almost optimal solution of initial-value problems by randomized and quantum algorithms
On the elimination of the sweeping interactions from theories of hydrodynamic turbulence
Mathematical models with exact renormalization for turbulent transport
Simpler variational problems for statistical equilibria of the 2D Euler equation and other systems with long range interactions
Statistical mechanics of 2D turbulence with a prior vorticity distribution
Dynamical and thermodynamical stability of two-dimensional flows: variational principles and relaxation equations
A short review on drag reduction by polymers in wall bounded turbulence
Theoretical investigation of some thermal effects in turbulence modeling
An informal conceptual introduction to turbulence. Second edition of an informal introduction to turbulence
An efficient non-Markovian theory of non-equilibrium dynamics
Optimal solution of ordinary differential equations
Efficient solution of non-Markovian covariance evolution equations in fluid turbulence
Renormalization group analysis of turbulence. I: Basic theory
Numerical solutions of the direct interaction approximation equations for anisotropic turbulence
A numerical study of 2-D turbulence
Is there a statistical mechanics of turbulence?
Slow modes in passive advection
Ideal magnetofluid turbulence in two dimensions
The modeling of small scales in two-dimensional turbulent flows: A statistical mechanics approach
Hydrodynamic and magnetohydrodynamic turbulent flows. Modelling and statistical theory
The radiated noise from isotropic turbulence
Variable density fluid turbulence.
Lagrangian dispersion in Gaussian self-similar velocity ensembles
Renormalization group, operator expansion, and anomalous scaling in a simple model of turbulent diffusion
The Kraichnan-Kazantsev dynamo
Between hydrodynamics and elasticity theory: The first five births of the Navier-Stokes equation
Characterization of sound radiation by unresolved scales of motion in computational aeroacoustics
Anisotropic triadic closures for shear-driven and buoyancy-driven turbulent flows
Spectral analysis of turbulence in anisothermal channel flows
A novel evolutionary algorithm applied to algebraic modifications of the RANS stress-strain relationship
Rayleigh-Taylor and Richtmyer-Meshkov instability induced flow, turbulence, and mixing. I
Rayleigh-Taylor and Richtmyer-Meshkov instability induced flow, turbulence, and mixing. II
Turbulent mixing of a critical fluid: the non-perturbative renormalization
The computer as a physical system: a microscopic quantum mechanical Hamiltonian model of computers as represented by Turing machines
Statistical mechanics of geophysical turbulence: application to Jovian flows and Jupiter's great red spot
On the double cascades of energy and enstrophy in two-dimensional turbulence. I: Theoretical formulation
On the double cascades of energy and enstrophy in two-dimensional turbulence. II: Approach to the KLB limit and interpretation of experimental evidence
On the perturbation expansion of the KPZ equation
Multi-time, multi-scale correlation functions in turbulence and in turbulent models
Computing the scaling exponents in fluid turbulence from first principles: Demonstration of multiscaling
Stochastic models of chaotic systems
Two-point, two-time closures applied to forced isotropic turbulence
Statistical mechanical theory of the Great Red Spot of Jupiter
Exact results on stationary turbulence in 2D: Consequences of vorticity conservation
On the Lighthill relationship and sound generation from isotropic turbulence
Turbulence in magnetohydrodynamics
Reduced descriptions of hydrodynamic turbulence.
Direct-interaction approximation and Reynolds-number reversed expansion for a dynamical system
Rayleigh-Taylor and Richtmyer-Meshkov instabilities: a journey through scales
The role of the asymmetric Ekman dissipation term on the energetics of the two-layer quasi-geostrophic model
The nonperturbative functional renormalization group and its applications
Determining \textit{a priori} a RANS model's applicable range via global epistemic uncertainty quantification
Application of an evolutionary algorithm to LES modelling of turbulent transport in premixed flames
Experimental study of the bottleneck in fully developed turbulence
Transport phenomena in multiphase flows
Influences of subgrid scale dynamics on resolvable scale statistics in large-eddy simulations
Is turbulence ergodic?
Is the subdominant part of the energy spectrum due to downscale energy cascade hidden in quasi-geostrophic turbulence?
Spectral transport model for turbulence
Locality of turbulent cascades
Improved bounds on the randomized and quantum complexity of initial-value problems
Nonlinear stability of fluid and plasma equilibria
Energy and spectral dynamics in forced compressible turbulence
An Introduction to Magnetohydrodynamics
3D isotropic turbulence at very high Reynolds numbers: EDQNM study
Energy backscatter in large-eddy simulations of three-dimensional incompressible isotropic turbulence
Anisotropy of small-scale scalar turbulence
On the late-time behaviour of a bounded, inviscid two-dimensional flow
Passive scalar decay laws in isotropic turbulence: Prandtl number effects
A spectral model for homogeneous shear-driven anisotropic turbulence in terms of spherically averaged descriptors
Energy and potential enstrophy flux constraints in quasi-geostrophic models
Energy transfers in forced MHD turbulence
On fully self-preserving solutions in homogeneous turbulence
Refined vorticity statistics of decaying rotating three-dimensional turbulence
High-temperature gradient effect on a turbulent channel flow using thermal large-eddy simulation in physical and spectral spaces
Kolmogorov laws for stratified turbulence
On non-self-similar regimes in homogeneous isotropic turbulence decay
On the strength of the nonlinearity in isotropic turbulence
Effects of fluctuating energy input on the small scales in turbulence
Quasi-static magnetohydrodynamic turbulence at high Reynolds number
Prandtl and the Göttingen school
The Russian school
Robert H. Kraichnan
Reynolds-stress-constrained large-eddy simulation of wall-bounded turbulent flows
The Gyrokinetic Description of Microturbulence in Magnetized Plasmas
Two-Dimensional Turbulence
The real butterfly effect
A statistical dynamical theory of strongly nonlinear internal gravity waves
Minimum enstrophy vortices
Statistical analysis of the deviation of the Reynolds stress from its eddy-viscosity representation
Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape
Comparison of direct numerical simulation of two-dimensional turbulence with two-point closure: the effects of intermittency
Galilean invariance of subgrid-scale stress models in the large-eddy simulation of turbulence
Statistical analysis of the anisotropy of scalar diffusion in turbulent shear flows
Statistical theory for magnetohydrodynamic turbulent shear flows
Diffusion of a passive scalar in two-dimensional turbulence
Inertial range structure of turbulent velocity and scalar fields in a Lagrangian renormalized approximation
Direct interaction approximation for Vlasov turbulence from the Kadomtsev weak coupling approximation
Subgrid modeling for magnetohydrodynamic turbulent shear flows
Inertial range of two-dimensional turbulence in a Lagrangian renormalized approximation
On nonlinear K-l and K-ε models of turbulence
An interpretation of the Yakhot–Orszag turbulence theory
Direct interaction approximation of turbulence in the wave packet representation
On the relation between ‘‘mixing length’’ and ‘‘direct interaction approximation’’ theories of turbulence
Depression of nonlinearity in decaying isotropic turbulence
Nonlinear stability and statistical mechanics of flow over topography
Symmetric vortex merger in two dimensions: causes and conditions
Statistical modelling of passive-scalar diffusion in turbulent shear flows
Space-time correlations in turbulence: Kinematical versus dynamical effects
A direct interaction approximation treatment of turbulence in a compressible fluid. I. Formalism
Spectral approach to non-isotropic turbulence subjected to rotation
Analytical theories of turbulence and the ε expansion
A consequence of the zero fourth cumulant approximation
A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number
Nonlinear behavior and turbulence spectra of drift waves and Rossby waves
Computational Aerodynamics Development and Outlook
Fully developed MHD turbulence near critical magnetic Reynolds number
Turbulent phase shift of rossby waves
Renormalized expansions in the theory of turbulence with the use of the Lagrangian position function
H theorems in statistical fluid dynamics
Theory of two-point correlation function in a Vlasov plasma
Comparison of direct numerical simulations with predictions of two-point closures for isotropic turbulence convecting a passive scalar
Two-and-a-half-dimensional magnetohydrodynamic turbulence
Field theoretical techniques in statistical fluid dynamics: With application to nonlinear wave dynamics
Infrared properties of forced magnetohydrodynamic turbulence
Statistical equilibrium states for two-dimensional flows
Homogeneous buoyancy-generated turbulence
A simple point vortex model for two-dimensional decaying turbulence
Lagrangian velocity autocorrelation in isotropic turbulence
Mapping closure and non-Gaussianity of the scalar probability density functions in isotropic turbulence
Some comments on turbulence
The nature of triad interactions in homogeneous turbulence
Kinematic simulation of homogeneous turbulence by unsteady random Fourier modes
Triad interactions in a forced turbulence
Spectral large-eddy simulation of isotropic and stably stratified turbulence
Development of turbulence models for shear flows by a double expansion technique
A mapping closure for turbulent scalar mixing using a time-evolving reference field
Nearly incompressible fluids. II: Magnetohydrodynamics, turbulence, and waves
Test-field model for inhomogeneous turbulence
Decay of two-dimensional homogeneous turbulence
Statistical dynamics of two-dimensional flow
Progress in the development of a Reynolds-stress turbulence closure
Possibility of an inverse cascade of magnetic helicity in magnetohydrodynamic turbulence
Eulerian and Lagrangian time microscales in isotropic turbulence
A more general effective-viscosity hypothesis
On higher-order spectra of turbulence
Strong MHD helical turbulence and the nonlinear dynamo effect
The equilibrium statistical mechanics of simple quasi-geostrophic models
Two-dimensional turbulence above topography
Waves and turbulence on a beta-plane
Approach of axisymmetric turbulence to isotropy
Eulerian and Lagrangian renormalization in turbulence theory
Influence of helicity on the evolution of isotropic turbulence at high Reynolds number
Eddy diffusivity, eddy noise and subgrid-scale modelling
Infinite-dimensional turbulence
A simple dynamical model of intermittent fully developed turbulence
Models of the scalar spectrum for turbulent advection
A strain-based Lagrangian-history turbulence theory
The application of turbulence theory to the formulation of subgrid modelling procedures
A numerical comparison of velocity-based and strain-based Lagrangian-history turbulence approximations
Temporal scaling behavior of decaying two-dimensional turbulence
Inertial transfers in the helical decomposition
Statistics of an advected passive scalar
On explicit algebraic stress models for complex turbulent flows
The structure of intense vorticity in isotropic turbulence
Computation of the Loitsianski integral in decaying isotropic turbulence
Lagrangian and Eulerian time correlations in turbulence
Lagrangian velocity correlations in homogeneous isotropic turbulence
The synchronisation of intense vorticity in isotropic turbulence
Statistical Properties of Subgrid-Scale Turbulence Models
Celebrating George K. Batchelor's Centenary
Homogeneous Turbulence Dynamics
Magnetohydrodynamic Turbulence
Predictability: a way to characterize complexity
Two-dimensional turbulence: a physicist approach
Coarse-grained incompressible magnetohydrodynamics: analyzing the turbulent cascades
Anomalous scaling in the kazantsev-kraichnan model with finite time correlations: two-loop renormalization group analysis of relevant composite operators
Influence of compressibility on scaling regimes of kraichnan model with finite time correlations: two-loop RG analysis
Statistical mechanics of two-dimensional Euler flows and minimum enstrophy states
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item